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Finding the Fourth Proportional to 7,890.91, 11,832.72 and 2,957.02

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Solution

The fourth proportional to 7,890.91, 11,832.72 and 2,957.02 is: 4,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.91 : 11,832.72 = 2,957.02 : x
  2. Step 2: Convert to fraction form
    7,890.91/11,832.72 = 2,957.02/x
  3. Step 3: Cross multiply
    7,890.91x = 11,832.72 × 2,957.02
  4. Step 4: Simplify right side
    7,890.91x = 34,989,589.69
  5. Step 5: Solve for x
    x = 34,989,589.69/7,890.91
  6. Step 6: Final answer
    x = 4,434.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.